Sadhana Bhadoriya

Ex – 10.2 Que No. 5 Q.5). Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. Solution:-

Ex – 10.2 Que No. 4 Q.4). Prove that the tangents drawn at the ends of a diameter of a circle are parallel. Solution:-

Ex – 10.2 Que No. 3 Q.3). If tangents PA and PB from a point P to a circle with center O are inclined to each other at angle of 80°, then ∠ POA is equal to Solution:-

Ex – 10.2 Que No. 2 Q.2) In Fig. 10.11, if TP and TQ are the two tangents to a circle with center O so that ∠POQ = 110°, then ∠PTQ is equal to

Ex – 10.1 Que No. 4 Q.4) Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle. Solution:-

Ex – 10.1 Que No. 3 Q.3) A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is : Solution:-

Ex – 10.1 Que No. 2 Q.2) Fill in the blanks :

Ex – 10.2 Que No. 1 Q.1) From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

Ex – 10.1 Que No. 1 Q.1) How many tangents can a circle have? Ans:- A tangent is a line that touches a circle at exactly one point, called the point of contact. A circle can have an infinite number of tangents.